#include<bits/stdc++.h>
using namespace std;
using ll = long long;
using vll =vector<ll>;
using vvll =vector<vll>;
using vb=vector<bool>;
using vvb=vector<vb>;
using vvvb=vector<vvb>;
#define rep(i,n) for(ll i=(ll)(0); i<(ll(n)); ++i)
#define all(x) (x).begin(), (x).end()

int main(){
    ll N,A,B;
    cin>>N>>A>>B;
    vll X(N),Y(N),K(N);
    rep(i,N)cin>>X[i]>>Y[i]>>K[i];
    vvvb DP(1<<N,vvb(N,vb(N,0)));
    rep(i,N)DP[1<<i][i][i]=1;
    ll an=0;
    rep(bit,1<<N){
        rep(i,N){
            rep(j,N){
                if(DP[bit][i][j]){
                    ll cnt=0;
                    rep(k,N)if(bit&(1<<k))cnt++;
                    an=max(an,cnt);
                    rep(k,N){
                        if(bit&(1<<k))continue;
                        ll XS=abs(X[i]-X[k])+abs(Y[i]-Y[k]);
                        ll YS=abs(X[j]-X[k])+abs(Y[j]-Y[k]);
                        if(cnt==1){
                            if(A<=YS)DP[bit+(1<<k)][j][k]=true;
                        }
                        if(cnt>=1){
                            if(B<=abs(K[j]-K[k]))DP[bit+(1<<k)][j][k]=1;
                        }
                        if(cnt>=2){
                            if(A<=XS+YS)DP[bit+(1<<k)][j][k]=1;
                        }
                        
                    }
                }
            }
            
        }
    }
    cout<<an<<endl;
}